Spaniard Fernando Torres opened the scoring after 12 minutes when he picked up a defence splitting pass from Yossi Benayoun.
Steven Gerrard, who came on in the second half with Dutchmen Dirk Kuyt and Ryan Babel, doubled Liverpool's lead in the 65th minute with a beautiful shot from 25 metres.
In the other match Feyenoord and Porto drew 0-0 leaving Liverpool, who face the Dutch on Sunday, top of the table with three points ahead of the hosts and Portuguese on one point.
